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+1
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avatar+101 

Hi...can you clarify logic in attached example marked with a question mark...Thanks and regards

 Jan 31, 2019
 #1
avatar+96956 
+3

The second does not come from the first, it comes from the BUT....

 

\(sin\frac{\theta}{2}<\frac{\theta}{2}\\ \qquad \text{remember that theta is describes as acute so therefore it is positive}\\ sin^2\frac{\theta}{2}<\left(\frac{\theta}{2}\right)^2\\ -sin^2\frac{\theta}{2}>-\left(\frac{\theta}{2}\right)^2\\ 1-sin^2\frac{\theta}{2}>1-\left(\frac{\theta}{2}\right)^2\\\)

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 Jan 31, 2019
 #2
avatar+101 
+1

Thanks Melody for your patience and skills! 

 Feb 2, 2019

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